Day Problems 9/12/12 1.Name the intersection of plane AEH and plane GHE. 2.What plane contains points B, F, and C? 3.What plane contains points E, F, and D?

1.3 Measuring Segments 9/12/12 Postulate 1.5 – Ruler Postulate – Every point on a line can be paired with a real number. – The real number that corresponds to a point is called the coordinate of the point. – Allows you to measure lengths of segments and will allow you to find the distances between points. The distance between points A and B is the absolute value of the difference of their coordinates.

Measuring Segment Lengths What is ST? What is SV? What is UV? What is TV?

Measuring Segment Lengths ST = | -4 – 8 | = | -12| = 12 SV = |-4 – 14 | = | -18| = 18 UV = | 10 – 14| = | -4| = 4 TV = |8 – 14| = | -6 | = 6

Postulate 1.6 Segment Addition Postulate If three points A, B, and C are collinear and B is between A and C, then AB + BC = AC.

Using the Segment Addition Postulate If EG = 59, what are EF and FG? EF + FG = EG (8x – 14) + (4x + 1) = 59 12x – 13 = 59 12x = 72 x = 6 EF = 8(6) – 14 = 34 FG = 4(6) + 1 = 25

Congruent Segments

Comparing Segment Lengths

The midpoint of a segment is a point that divides the segment into two congruent segments. A point, line, ray, or other segment that intersects a segment at its midpoint is said to bisect the segment. – The point, line, ray, or segment is called a segment bisector. A MB

Using the Midpoint Q is the midpoint of PR. What are PQ, QR, and PR? Find x. 6x – 7 = 5x + 1 x – 7 = 1 x = 8 Find PQ and QR. PQ = 6x – 7 = 6 ( 8 ) – 7 = 41 Find PR. PR = PQ + QR = = 82.

More Practice!!!!! Classwork – Textbook p. 24 #7 – 21 ODD. Homework – Textbook p. 24 #8 – 22 EVEN.